The \(\omega \)  Cen distance of [1]} was based on a direct averaging of the Gaia EDR3 parallaxes of individual member stars, applying only the [2]} parallax corrections. Their parallax value
did not take systematic biases in the Gaia parallaxes or small scale correlated errors into account. Accounting for both, we derived a parallax of \(\varpi =182.3 \pm 9.5 \mu as\)  for \(\omega \)  Cen
[3]}, corresponding to a distance
\(D=5.48 \pm 0.24\)  kpc, slightly larger than [1]} and also with a larger formal error than found by them. Combining this data with the other distances, we then derive a distance of \(D=5.43 \pm 0.05\)  to \(\omega \)  Cen. A similar analysis
as the one done by [1]} leads to
an absolute TRGB magnitude of \(M_{I,TRGB}=-4.06 \pm 0.06\) , confirming the value found by [6]}. In addition, our results also confirm their adopted distance to NGC 104. The resulting value of the local Hubble constant
of \(H_0=69.4 \pm 2.0\)  km/sec would be in better agreement with the expected value based on the Planck data of \(67.4 \pm 0.5\)  km/sec [7]}.
